Problem 17-3 (LG 17-5) A mutual fund has 400 shares of General Electric, current
ID: 2646621 • Letter: P
Question
Problem 17-3 (LG 17-5)
A mutual fund has 400 shares of General Electric, currently trading at $15, and 400 shares of Microsoft, Inc., currently trading at $29. The fund has 1,000 shares outstanding.
What is the NAV of the fund? (Round your answer to 2 decimal places. (e.g., 32.16))
If investors expect the price of General Electric to increase to $20 and the price of Microsoft to decline to $14 by the end of the year, what is the expected NAV at the end of the year? (Round your answer to 2 decimal places. (e.g., 32.16))
Assume that the price of General Electric shares is realized at $20. What is the maximum price to which Microsoft can decline and still maintain the NAV as estimated in (a)? (Do not round intermediate calculations.)
A mutual fund has 400 shares of General Electric, currently trading at $15, and 400 shares of Microsoft, Inc., currently trading at $29. The fund has 1,000 shares outstanding.
Explanation / Answer
A mutual fund has 400 shares of General Electric, currently trading at $15, and 400 shares of Microsoft, Inc., currently trading at $29. The fund has 1,000 shares outstanding.
a.
What is the NAV of the fund? (Round your answer to 2 decimal places. (e.g., 32.16))
NAV $ = {(400*15)+(400*29)} /1000 =17.6
b.
If investors expect the price of General Electric to increase to $20 and the price of Microsoft to decline to $14 by the end of the year, what is the expected NAV at the end of the year? (Round your answer to 2 decimal places. (e.g., 32.16))
Expected NAV
$ {(400*20)+(400*14)} /1000 =13.6 or a decline of 22.72%
c.
Assume that the price of General Electric shares is realized at $20. What is the maximum price to which Microsoft can decline and still maintain the NAV as estimated in (a)? (Do not round intermediate calculations.)
(400*20)/1000+(400*Pm) /1000 =17.6
(400*20) +400*Pm = 17600
Pm = (17600-8000) /(400) =24 , a decrease of $ 5 (29-24)